Mathematics 0580 · IGCSE · Coordinates

Coordinates — practice question

$F$ has coordinates $(1, -4)$, $\vec{FG} = \begin{pmatrix} 8 \\ -3 \end{pmatrix}$ and $\vec{GH} = \begin{pmatrix} -12 \\ 35 \end{pmatrix}$.
(a)[1]

Calculate $3\vec{FG}$.

(b)[1]

Calculate $\vec{FG} + \vec{GH}$.

(c)[1]

Determine the coordinates of the point $G$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: The required vector is $\begin{pmatrix}24\\-9\end{pmatrix}$.

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